Hyperspherical Variational Autoencoders Using Efficient Spherical Cauchy Distribution 事件

Hyperspherical Variational Autoencoders Using Efficient Spherical Cauchy Distribution arXiv:2506.21278v3 Announce Type: replace-cross Abstract: We propose spherical Cauchy (spCauchy) latent variables for variational autoencoders on hyperspherical latent spaces. The spCauchy family has heavy-tailed global behavior and admits an exact differentiable reparameterization by applying a M\"obius transformation to uniform samples on the sphere. We show that, in the high-concentration limit, spCauchy re